Finding the Values of Angles in a Geometric Figure
<p>Given that line AB is parallel to line CD, angle AEB = angle DEC as corresponding angles.</p>
<p>Angle DEC = 70° (given).</p>
<p>Therefore, angle AEB = 70°.</p>
<p>Angle DEB = angle BEA as alternate interior angles, hence angle DEB = 28°.</p>
<p>In triangle DEB, sum of angles = 180°.</p>
<p>Therefore, angle EDB = 180° - 70° - 28° = 82°.</p>
<p>Since angle EDB = angle EAB as alternate interior angles and line AB is parallel to line CD, angle EAB = 82° as well.</p>
<p>In triangle AEB, sum of angles = 180°.</p>
<p>Therefore, angle A = 180° - 70° - 82° = 28°.</p>
<p>Hence, x = 28° and y = 82°.</p>
